2. Let X1, ,X,,1 be a random sample from a Gamma distribution with parameters a and 6 = 9 1-in- Where a is known. Suppose the prior on r is gamma with parameters do and 60, Where (to and 60 are both known. 3) Find the posterior distribution of 1 given X1 = x1, ,Xn = xn. b) For the squared error loss function, nd the Bayesian estimate of r. c) Find the maximum likelihood estimate of r. d) Rewrite the Bayesian estimate of r from part b) as a function of the MLE estimate from part c)